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sweetdream55
@sweetdream55
July 2022
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Решите уравнение
∛x=10-x
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mmb1
Verified answer
∛x = 10 - x
замена ∛x=t
t = 10 - t³
t³ + t -10 = 0
t³ + 2t² - 2t² - 4t + 5t - 10=0
t²(t - 2) + 2t(t -2) + 5(t-2) = 0
(t -2) (t² + 2t + 5) =0
t=2
∛x=t
x=8
t²+2t+5=0
D=4-20<0 действительных корней нет
Ответ 8
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Answers & Comments
Verified answer
∛x = 10 - xзамена ∛x=t
t = 10 - t³
t³ + t -10 = 0
t³ + 2t² - 2t² - 4t + 5t - 10=0
t²(t - 2) + 2t(t -2) + 5(t-2) = 0
(t -2) (t² + 2t + 5) =0
t=2
∛x=t
x=8
t²+2t+5=0
D=4-20<0 действительных корней нет
Ответ 8